OTC 12L 3s

Omnitetrachordal MODMOS scale
12L+3s
15 tones (6+3+6)

temperament: augmented

P = 12.5377181246
Q = 38.1131543739 (4/3 = 5L+0.5s)

L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)

9/8 = 2L+s (200.00 to 240.00 cents)
4/3 = 5L+s (480.00 to 500.00 cents)
MOS generator = L (80.0 to 100.0 cents)
MOS period = 1/3 octave (400.00 cents)

notable EDOs: 27, 39, 51

LLLLsLLLLsLLLLs (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5
    ||  ||     
LLLLLsLLsLLLLLs (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5

symmetric mode: LsLLLLLsLLLLLsL

all modes:

LLs LLLLLs LLLLLs		LLsLLL LLsLLL LLs
LsL LLLLsL LLLLsL		LsLLLL LsLLLL LsL
sLL LLLsLL LLLsLL		sLLLLL sLLLLL sLL
		LLLLLs LLLLLs LLs
		LLLLsL LLLLsL LsL
		LLLsLL LLLsLL sLL
	LLsLLL LLs LLsLLL
	LsLLLL LsL LsLLLL
	sLLLLL sLL sLLLLL
	LLLLLs LLs LLLLLs
	LLLLsL LsL LLLLsL
	LLLsLL sLL LLLsLL
LLs LLsLLL LLsLLL
LsL LsLLLL LsLLLL
sLL sLLLLL sLLLLL

See also

• Omnitetrachordality
• Gallery of omnitetrachordal scales